## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 435676, 15 pages.

### Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space

#### Abstract

Let $\left\{{T}_{i}{\right\}}_{i=1}^{N}$ be $N$ strictly pseudononspreading mappings defined on closed convex subset $C$ of a real Hilbert space $H$. Consider the problem of finding a common fixed point of these mappings and introduce cyclic algorithms based on general viscosity iteration method for solving this problem. We will prove the strong convergence of these cyclic algorithm. Moreover, the common fixed point is the solution of the variational inequality $〈\left(\gamma f-\mu B\right){x}^{*},v-{x}^{*}〉\le 0,\forall v\in {\bigcap }_{i=1}^{N}{F}_{ix}\left({T}_{i}\right)$.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 435676, 15 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357179974

Digital Object Identifier
doi:10.1155/2012/435676

Mathematical Reviews number (MathSciNet)
MR2948164

Zentralblatt MATH identifier
1325.47118

#### Citation

Deng, Bin-Chao; Chen, Tong; Li, Zhi-Fang. Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space. J. Appl. Math. 2012, Special Issue (2012), Article ID 435676, 15 pages. doi:10.1155/2012/435676. https://projecteuclid.org/euclid.jam/1357179974

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